The value of .40C0×.100C40−.40C1×.99C40+.40C2×.98C40…….+.40C40×.60C40 is equal to \displaystyle\text{____}.

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The value of .^{{{40}}}{C}_{{{0}}}.^{{{100}}}{C}_{{{40}}}-.^{{

Question

The value of $.^{40} C_{0} \times .^{100} C_{40} - .^{40} C_{1} \times .^{99} C_{40} + .^{40} C_{2} \times .^{98} C_{40} \dots\dots . + .^{40} C_{40} \times .^{60} C_{40}$ is equal to \displaystyle\text{____}.

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The value of

.^{40} C_{0} \times .^{100} C_{40} - .^{40} C_{1} \times .^{99} C_{40} + .^{40} C_{2} \times .^{98} C_{40} \dots\dots . + .^{40} C_{40} \times .^{60} C_{40}

is equal to \displaystyle\text{____}.

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Question Text

The value of

.^{40} C_{0} \times .^{100} C_{40} - .^{40} C_{1} \times .^{99} C_{40} + .^{40} C_{2} \times .^{98} C_{40} \dots\dots . + .^{40} C_{40} \times .^{60} C_{40}

is equal to \displaystyle\text{____}.